Stability analysis for impulsive neural networks with variable delays

Wu-Hua Chen; Wei Xing Zheng

Stability analysis for impulsive neural networks with variable delays

Wu-Hua Chen
, Wei Xing Zheng

School of Computer, Data & Mathematical Sciences

Research output: Chapter in Book / Conference Paper › Conference Paper

Abstract

The problem of global exponential stability analysis of impulsive neural networks with variable delays is investigated in this paper. The cases of impulses considered in this paper include that (1) the impulses are input disturbance; (2) the impulses are "neutral" type (that is, they are neither helpful for stability for neural networks nor destabilizing). A new approach based on Lyapunov function and Razumikhin-type techniques is developed to establish delay-independent sufficient conditions for global exponential stability in each case of impulses. These new stability conditions are expressed in form of linear matrix inequalities with regard to proper types of impulse time sequences and are independent of the size of variable delays. The effectiveness of the new results are further illustrated by numerical examples.

Original language	English
Title of host publication	Proceedings of the 41st IEEE International Symposium on Circuits and Systems (ISCAS 2008) held in Seattle, Washington, 18-21 May, 2010
Publisher	IEEE
Number of pages	4
ISBN (Print)	9781424416837
Publication status	Published - 2008
Event	International Symposium on Circuits and Systems - Duration: 1 Jan 2008 → …

Conference

Conference	International Symposium on Circuits and Systems
Period	1/01/08 → …

Keywords

neural networks (computer science)
variable delays
stability
linear matrix inequalities
Razumikhin-type techniques
Lyapunov functions

Cite this

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title = "Stability analysis for impulsive neural networks with variable delays",

abstract = "The problem of global exponential stability analysis of impulsive neural networks with variable delays is investigated in this paper. The cases of impulses considered in this paper include that (1) the impulses are input disturbance; (2) the impulses are {"}neutral{"} type (that is, they are neither helpful for stability for neural networks nor destabilizing). A new approach based on Lyapunov function and Razumikhin-type techniques is developed to establish delay-independent sufficient conditions for global exponential stability in each case of impulses. These new stability conditions are expressed in form of linear matrix inequalities with regard to proper types of impulse time sequences and are independent of the size of variable delays. The effectiveness of the new results are further illustrated by numerical examples.",

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year = "2008",

language = "English",

isbn = "9781424416837",

booktitle = "Proceedings of the 41st IEEE International Symposium on Circuits and Systems (ISCAS 2008) held in Seattle, Washington, 18-21 May, 2010",

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TY - GEN

T1 - Stability analysis for impulsive neural networks with variable delays

AU - Chen, Wu-Hua

AU - Zheng, Wei Xing

PY - 2008

Y1 - 2008

N2 - The problem of global exponential stability analysis of impulsive neural networks with variable delays is investigated in this paper. The cases of impulses considered in this paper include that (1) the impulses are input disturbance; (2) the impulses are "neutral" type (that is, they are neither helpful for stability for neural networks nor destabilizing). A new approach based on Lyapunov function and Razumikhin-type techniques is developed to establish delay-independent sufficient conditions for global exponential stability in each case of impulses. These new stability conditions are expressed in form of linear matrix inequalities with regard to proper types of impulse time sequences and are independent of the size of variable delays. The effectiveness of the new results are further illustrated by numerical examples.

AB - The problem of global exponential stability analysis of impulsive neural networks with variable delays is investigated in this paper. The cases of impulses considered in this paper include that (1) the impulses are input disturbance; (2) the impulses are "neutral" type (that is, they are neither helpful for stability for neural networks nor destabilizing). A new approach based on Lyapunov function and Razumikhin-type techniques is developed to establish delay-independent sufficient conditions for global exponential stability in each case of impulses. These new stability conditions are expressed in form of linear matrix inequalities with regard to proper types of impulse time sequences and are independent of the size of variable delays. The effectiveness of the new results are further illustrated by numerical examples.

KW - neural networks (computer science)

KW - variable delays

KW - stability

KW - linear matrix inequalities

KW - Razumikhin-type techniques

KW - Lyapunov functions

UR - http://handle.uws.edu.au:8081/1959.7/45297

M3 - Conference Paper

SN - 9781424416837

BT - Proceedings of the 41st IEEE International Symposium on Circuits and Systems (ISCAS 2008) held in Seattle, Washington, 18-21 May, 2010

PB - IEEE

T2 - International Symposium on Circuits and Systems

Y2 - 1 January 2008

ER -

Stability analysis for impulsive neural networks with variable delays

Abstract

Conference

Keywords

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